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3.1.3. Quantum spin Hall effect We now turn to the Hamiltonians of the quantum spin Hall effect, which appears in both graphene and the HgTe quantum well. These are 2d time reversal invari- ant models. Haldane [40] first investigated the quantum Hall effect in graphene which has a honeycomb lattice structure. The Kane–Mele model [45] further took spin-orbit coupling into account and generalized the spinless Haldane model. They first predicted the quantum spin Hall effect in graphene with the effective Dirac Hamiltonian 5 HKM = di(k)Γi + 5 1=iPDF Image | Notes on topological insulators
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